Mathematics at Yale University

Gateway courses

Each of these unlocks the largest share of downstream work on this map. Courses from other departments can appear here when they genuinely gate MATH coursework.

• MATH 1150Calculus of Functions of One Variable IIopens 18 courses (7 directly)
• MATH 2250Linear Algebraopens 16 courses (12 directly)
• MATH 2220Linear Algebra with Applicationsopens 16 courses (6 directly)
• MATH 2550Analysis 1opens 12 courses (4 directly)
• MATH 2560Analysis 1 (Intensive)opens 12 courses (4 directly)
• MATH 3020Vector Analysis and Integration on Manifoldsopens 8 courses (2 directly)

The map

Intro tiers at the top, advanced work below; arrows point from a prerequisite to the course it unlocks. Courses from other departments appear where they gate MATH work. Click any course to see what it requires and unlocks without leaving this page; hovering lights up its neighbors. The lists on this page carry the same courses in text form.

Showing the 25 MATH and feeder courses that have prerequisite links. 273 more MATH courses have no recorded prerequisites. They are listed under Tracks below, not drawn as loose dots here.

Tracks

Upper-level clusters, grouped by the gateway that opens them.

The longest ladders

The deepest prerequisite chains in MATH. These are the routes that take the most semesters to climb.

• 10 courses deep, ending at MATH 2470

  1. MATH 2560Analysis 1 (Intensive)
  2. MATH 2550Analysis 1
  3. MATH 3020Vector Analysis and Integration on Manifolds
  4. MATH 1200Calculus of Functions of Several Variables
  5. MATH 2460Ordinary Differential Equations
  6. MATH 2470Intro to Partial Differential Equations

• 8 courses deep, ending at MATH 3250

  1. MATH 2560Analysis 1 (Intensive)
  2. MATH 2550Analysis 1
  3. MATH 3050Analysis 2: Lebesgue Integration and Fourier Series

• 5 courses deep, ending at MATH 2420

  1. MATH 2220Linear Algebra with Applications
  2. MATH 2250Linear Algebra
  3. MATH 2420Theory of Statistics

• 3 courses deep, ending at MATH 2440

  1. MATH 1110Introduction to Functions and Calculus II
  2. MATH 1150Calculus of Functions of One Variable II
  3. MATH 2440Discrete Mathematics

Grade medians

Teaching in Fall 2026

Instructors on MATH sections in Fall 2026, from the registrar's schedule.

• A. Goncharov
• C. Godar
• C. Morton-Ferguson
• C. Reid
• C. Smart
• C. Wolfram
• E. Michielssen
• Etgar
• G. Mordant
• H. Oh
• I. Frenkel
• I. Loseu
• J. Hall
• J. Shen
• J. Wettlaufer
• K. Hart
• Kenyon
• L. Seaberg
• L. Wang
• M. Anderson
• M. Havlickova
• R. Coifman
• S. Chewi
• S. Cronan
• S. DeHority
• S. Hurtado - Salazar
• S. Krishnaswamy
• S. Li
• S. Raskin
• T. Ablondi
• T. Cheetham-West
• T. Wang
• W. Schlag
• X. Zhao
• Y. Minsky

Clubs & organizations

No clubs or organizations on record under MATH yet.

Clubs students here join

Department events

Mathematics does not run a page here yet. When it does, its events show up here and on the Yale campus feed.